Convert 0.72 a bar over 72 as a repeating decimal to a rational number in simplest form.

Answer 1

To convert 0.72 (a bar over 72) to a rational number, we let x = 0.727272... and subtract it from 100x, which gives us:
100x - x = 72.727272... - 0.727272...
99x = 72
x = 72/99
Since 72 and 99 share a common factor of 9, we can simplify this fraction to get:
x = 8/11
So, the rational number that represents 0.72 (a bar over 72) is 8/11 in simplest form.